What is ((y^{-2})^3)/(2x^{-4)} ?

The solution to ((y^{-2})^3)/(2x^{-4)} is (x^4)/(2y^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((y^{-2})^3)/(2x^{-4)}

simplify

\frac{( y ^{- 2} ) ^{3}}{2 x ^{- 4}}

\frac{x ^{4}}{2 y ^{6}}

Solution steps

\frac{( y ^{- 2} ) ^{3}}{2 x ^{- 4}}

Simplify

(y^{- 2})^{3} : \frac{1}{y ^{6}}

= \frac{\frac{1}{y ^{6}}}{2 x ^{- 4}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{y ^{6} \cdot 2 x ^{- 4}}

Simplify

y^{6} \cdot 2 x^{- 4} : \frac{2 y ^{6}}{x ^{4}}

= \frac{1}{\frac{2 y ^{6}}{x ^{4}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{4}}{2 y ^{6}}

- 448

- 8 (- 8)

\frac{x}{y} + \frac{x}{y}

64 x^{2} - 25 y^{4}

3 6^{3 2^{- 5^{- 1}}}

What is ((y^{-2})^3)/(2x^{-4)} ?
The solution to ((y^{-2})^3)/(2x^{-4)} is (x^4)/(2y^6)